GCD of 505, 771, 805, 198 Calculator

Given Input numbers are 505, 771, 805, 198

In the factoring method, we have to find the divisors of all numbers

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (505, 771, 805, 198) = 1.

Given numbers are 505, 771, 805, 198

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 771 are 3 x 257

Prime factors of 805 are 5 x 7 x 23

Prime factors of 198 are 2 x 3 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 505, 771, 805, 198

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(505, 771) = 389355

GCD(505, 771) = ( 505 x 771 ) / 389355

= 505 / 771

= 505

Step2:

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

= 1 / 805

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 505, 771, 805, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 127, 317, 234
• GCD of 182, 160, 934, 120
• GCD of 301, 628, 141, 986
• GCD of 458, 641, 374, 410
• GCD of 607, 482, 673, 868

Given numbers are 505, 771, 805, 198
The greatest common divisor of numbers 505, 771, 805, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 771, 805, 198 is 1.

1. What is the GCD of 505, 771, 805, 198?

GCD of given numbers 505, 771, 805, 198 is 1

2. How to calculate the greatest common divisor of 505, 771, 805, 198?

We can find the highest common divisor of 505, 771, 805, 198 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 505, 771, 805, 198 i.e 1.

3. How can I use the GCD of 505, 771, 805, 198Calculator?

Out the numbers 505, 771, 805, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.